Virginia Basic Geometry

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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free) (Random) G.1 Reasoning, Lines, and Transformations: Validity of Logical Arguments a. Identifying Hypothesis and Conclusion (Easier) b. Identifying Hypothesis and Conclusion c. Finding Converse (Easier) d. Relating Biconditionals to Conditional Statements and their Converses e. Finding Converse, Inverse, Contrapositive, and Biconditionals (Easier) f. Finding Converse, Inverse, Contrapositive, and Biconditionals g. Finding a Counterexample (Easier) h. Finding a Counterexample i. Finding a Counterexample (From Algebra) j. Translating into Symbolic Form k. Translating from Symbolic Form l. Using the Laws of Syllogism and Detachment m. Using Induction (Random) G.2 Reasoning, Lines, and Transformations: Parallel Lines and Transversals a. Identifying Complementary, Supplementary, and Congruent Angles b. Using Complementary, Supplementary, and Congruent Angles c. Using the Definition of Bisect d. Using the Vertical Angle Theorem e. Using the Linear Pair Postulate f. Using the Triangle Sum Theorem to Find Angle Measures g. Using the Exterior Angle Theorem to Find Angle Measures h. Finding Angle Measures (Combinations of the Above) i. Naming Angle Pairs when given Two Lines and a Transversal (includes Same-Side Exterior) j. Identifying Angle Relationships when given Two Parallel Lines and a Transversal k. Finding the value of x to prove two Lines are Parallel l. Deciding when Lines are Parallel Given Two Lines and a Transversal m. Proofs Involving Transversals n. Filling in Reasons for Proofs Involving Transversals (Random) G.3 Reasoning, Lines, and Transformations: Symmetry And Transformations a. Using the Distance Formula b. Finding Points using Distance c. Using the Midpoint Formula d. Using the Formula for Slope e. Finding Points using Slope f. Identifying Parallel, Perpendicular, and Oblique from Equations g. Identifying Line Symmetry h. Identifying Rotational and Point Symmetry i. Identifying the Transformation (Rotation, Reflection, Translation, or Glide Reflection) j. Applying Rotations k. Applying Reflections l. Reflecting Twice m. Applying Translations (with Vectors) n. Composition of Transformations o. Applying Glide Reflections p. Classifying Frieze Patterns q. Finding the Minimum Distance between two Points Touching a Line (Random) G.4 Reasoning, Lines, and Transformations: Constructions a. Identifying Constructions b. Using Constructions (Basic) c. Using Constructions (Complex) (Random) G.5 Triangles: Ordering Sides and Angles a. Determining if a Triangle Exists b. Ordering Sides and Angles of a Triangle c. Word Problems d. Applying the Hinge Theorem (Random) G.6 Triangles: Congruent Triangles a. Writing Congruence Statements for Triangles b. Using Triangle Congruence Theorems c. Filling in Reasons for Proving Triangles are Congruent d. Proving Triangles are Congruent e. Filling in Reasons when Using CPCTC in Proofs f. Using CPCTC in Proofs g. Proving Congruent with Coordinate Proofs h. Using Triangle Congruence to find a Missing Point (Random) G.7 Triangles: Similar Triangles a. Solving Proportions Using the Cross Multiplication b. Writing Similarity Statements and Statements of Proportion for Triangles c. Using Triangle Similarity Theorems d. Filling in Reasons when Proving Triangles are Similar e. Proving Triangles are Similar f. Finding the Scale Factor g. Using Proportions in Similar Triangles h. Word Problems with Similar Triangles i. Using Triangle Similarity to find a Missing Point	(Random) G.8 Triangles: Pythagorean Theorem and it's Converse a. Simplifying Radicals b. Finding the Geometric Mean c. Using the Pythagorean Theorem d. Using the Pythagorean Theorem Converse (Classifying Triangles) e. Using Right Triangles with Altitudes f. Using Special Right Triangles g. Finding Trigonometric Functions from Triangles h. Solving Ratios with Trigonometric Functions i. Using Trigonometry (Sin, Cos, Tan) to find Side Lengths j. Using Inverse Trigonometric Functions (Sin^-1, Cos^-1, Tan^-1) to find Angles k. Solving Right Triangles l. Finding Area of Right Triangles (Uses Trig!) (Random) G.9 Polygons and Circles: Quadrilaterals a. Identifying Properties of Parallelograms b. Finding Angles, Sides, and Diagonals in Parallelograms c. Proving Quadrilaterals are Parallelograms d. More complicated problems with Parallelograms e. Proving Quadrilaterals are Special Parallelograms using Coordinate proofs f. Using Midsegments in Triangles g. Identifying Properties of Trapezoids and Kites h. Using Midsegments in Trapezoids i. Finding Angles, Sides, and Diagonals in Trapezoids j. Identifying Properties of Special Quadrilaterals k. Finding Area of Special Quadrilaterals (Random) G.10 Polygons and Circles: Angles of Polygons a. Naming Polygons b. Finding Angles in Polygons c. Using the Angles in Polygons to Identify the Polygon d. Placing figures Conveniently in the Coordinate Plane e. Using Tessellation Problems when Finding Angles f. Using The Apothem to find Area of a Polygon g. Using The Radius to find Area of a Polygon h. Using The Side Length to find Area of a Polygon i. Combining multiple cases of Interior or Exterior Angles of Regular Polygons (Random) G.11 Polygons and Circles: Circles a. Reviewing Circle Vocabulary b. Using Tangent Properties c. Finding Arcs/Angles (Central Angle) d. Finding Arcs/Angles (Inscribed Angles) e. Finding Miscellaneous Angles f. Using Diameters and Chords g. Finding Arc Length h. Finding Area of a Sector i. Finding Chord Length j. Word Problems (requires Trigonometry) k. Identifying a Tangent to a Circle (using Pythagorean Theorem) l. Identify points as Inside, Outside, or On a Circle Given the Equation m. Combining Triangles/Quadrilaterals And Circles (Segments) n. Combining Triangles/Quadrilaterals And Circles (Angles) (Random) G.12 Polygons and Circles: Equations of Circles a. Identifying and Creating Equations of Circles b. Creating Equations of Circles from 2 Key Points (Random) G.13 3 Dimensional Figures: Surface Area And Volume a. Finding the Surface Area b. Finding the Volume Problems c. Solving Word Problems d. Solving for x Given Surface Area e. Finding Surface Area of Pyramids and Cones (with distractors) f. Solving for x Given Volume g. Finding Volume of Pyramids and Cones (with distractors) (Random) G.14 3 Dimensional Figures: Similar Objects a. Using Proportional Reasoning with Similar Objects b. Using Dimension Changes to Find Volume and Surface Area c. Finding Geometric Probabilities d. Finding Area
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